205219872145 has 32 divisors (see below), whose sum is σ = 263546299296. Its totient is φ = 152862720000.

The previous prime is 205219872107. The next prime is 205219872149. The reversal of 205219872145 is 541278912502.

It is a Cunningham number, because it is equal to 453012²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 131340283281 + 73879588864 = 362409^2 + 271808^2 .

It is not a de Polignac number, because 205219872145 - 2¹⁷ = 205219741073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205219872095 and 205219872104.

It is not an unprimeable number, because it can be changed into a prime (205219872149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32985135 + ... + 32991355.

It is an arithmetic number, because the mean of its divisors is an integer number (8235821853).

Almost surely, 2^205219872145 is an apocalyptic number.

It is an amenable number.

205219872145 is a deficient number, since it is larger than the sum of its proper divisors (58326427151).

205219872145 is a wasteful number, since it uses less digits than its factorization.

205219872145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341.

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 205219872145 in words is "two hundred five billion, two hundred nineteen million, eight hundred seventy-two thousand, one hundred forty-five".